Question

Find the y-intercept of the line 18x–y=5.

Answer 1

$\text{Write in y=mx+c form, where m is the slope and c is the y-intercept}\\\\~~~~18x-y = 5\\\\\implies y = 18x -5\\\\\text{y-intercept}~ = -5$

Answer 2

Answer:

y-intercept = -5

Step-by-step explanation:

Slope-intercept form of a linear equation:  $y = mx + b$

(where $m$ is the slope and $b$ is the y-intercept)

In order to find the y-intercept of the given line, rearrange so that it is in slope-intercept form:

Given equation:

$18x-y=5$

Add y to both sides:  

$\implies 18x-y+y=5+y$

$\implies 18x=5+y$

Subtract 5 from both sides:

$\implies 18x-5=5+y-5$

$\implies 18x-5=y$

In slope-intercept form:

$\implies y=18x-5$

Therefore,

• slope (m) = 18
• y-intercept (b) = -5